Question

18. Jonah throws a rock off the Empire State Building, and it quickly reaches terminal velocity. Find the terminal velocity of the rock as it falls vertically, given the following information: drag coefficient = 0.75; air density = 1.2 kg/m3; cross-sectional area of the rock = 5e-5 m²; mass of the rock = 27 g. A B C 207 m/s 75 m/s 108 m/s 94 m/s 138 m/s E

Answer 1

C) 108 m/s
given
c = 0.75
rho = 1.2 kg/m^3
A = 5*10^-5 m^2
m = 27 g = 27*10^-3 kg

we know,
terminal speed, v = sqrt(2*m*g/(rho*A*c))

= sqrt(2*27*10^-3*9.8/(1.2*5*10^-5*0.75))

= 108 m/s